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SUMMARY:Spectral properties of quantum channels and applications - Mizanur
  Rahaman\, ENS Lyon
DTSTART:20230921T131500Z
DTEND:20230921T143000Z
UID:TALK205117@talks.cam.ac.uk
CONTACT:Subhayan Roy Moulik
DESCRIPTION:Quantum channels are the most general input-output transformat
 ions allowed by quantum mechanics. Physically they play a crucial role in 
 Quantum Information Theory\, where they represent the communication from a
  sender to a receiver. In this talk\, I will discuss some generic properti
 es of a quantum channel related to its spectral behaviour. This would incl
 ude understanding the structure of a specific class of eigen-operators of 
 a unital channel. As applications\, I will show how these properties lead 
 to partial solutions to two currently open problems in Quantum Information
  Theory\, namely the PPT-squared conjecture and the optimal upper bound fo
 r the quantum Wielandt inequality for a primitive channel. No prior knowle
 dge of quantum theory will be assumed.
LOCATION:MR2
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